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Wave equation with Robin condition, quantitative estimates of strong unique continuation at the boundary
Sincich, Eva
Vessella, Sergio
2016
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e-ISSN
2464-8728
Abstract
The main result of the present paper consists in a quanti-tative estimate of unique continuation at the boundary for solutions to the wave equation. Such estimate is the sharp quantitative counterpart of the following strong unique continuation property: let u be a solution to the wave equation that satisfies an homogeneous Robin condition on aportion S of the boundary and the restriction of u|S on S is flat on a segment {0}× J with 0 ∈ S then u|S vanishes in a neighbourhood of {0}× J.
Series
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Publisher
EUT Edizioni Università di Trieste
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